Solve [(3^143)^5/4+6/5]

$$[ \frac { ( 3 ^ { 14 } 3 ) ^ { 5 } } { 4 } + \frac { 6 } { 5 } ]$$

Evaluate

$$\frac{3041333938566788545598419963094306559}{20}=1.520666969 \cdot 10^{35}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 14 and 1 to get 15.

$$\frac{\left(3^{15}\right)^{5}}{4}+\frac{6}{5}$$

To raise a power to another power, multiply the exponents. Multiply 15 and 5 to get 75.

$$\frac{3^{75}}{4}+\frac{6}{5}$$

Calculate 3 to the power of 75 and get 608266787713357709119683992618861307.

$$\frac{608266787713357709119683992618861307}{4}+\frac{6}{5}$$

Add \frac{608266787713357709119683992618861307}{4} and \frac{6}{5} to get \frac{3041333938566788545598419963094306559}{20}.

$$\frac{3041333938566788545598419963094306559}{20}$$